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Finding the Fourth Proportional to 1,071.62, 1,479.34 and 806.16

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Solution

The fourth proportional to 1,071.62, 1,479.34 and 806.16 is: 1,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.62 : 1,479.34 = 806.16 : x
  2. Step 2: Convert to fraction form
    1,071.62/1,479.34 = 806.16/x
  3. Step 3: Cross multiply
    1,071.62x = 1,479.34 × 806.16
  4. Step 4: Simplify right side
    1,071.62x = 1,192,581.28
  5. Step 5: Solve for x
    x = 1,192,581.28/1,071.62
  6. Step 6: Final answer
    x = 1,112.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.